Modeling velocity in gradient flows with coupled-map lattices with advection

• Autor(a) principal: Lind, Pedro Gonçalves
• Data de Publicação: 2002
• Outros Autores: Corte-Real, João Alexandre Medina, Gallas, Jason Alfredo Carlson
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFRGS
• Texto Completo: http://hdl.handle.net/10183/101355
• topic: Dinâmica dos fluidos computacional; Teoria de redes; Sistemas dinâmicos não-lineares; Velocidade

We introduce a simple model to investigate large scale behavior of gradient flows based on a lattice of coupled maps which, in addition to the usual diffusive term, incorporates advection, as an asymmetry in the coupling between nearest neighbors. This diffusive-advective model predicts traveling patterns to have velocities obeying the same scaling as wind velocities in the atmosphere, regarding the advective parameter as a sort of geostrophic wind. In addition, the velocity and wavelength of traveling wave solutions are studied. In general, due to the presence of advection, two regimes are identified: for strong diffusion the velocity varies linearly with advection, while for weak diffusion a power law is found with a characteristic exponent proportional to the diffusion.